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Question

Find x if AO=8.1cm,BO=5cm,OC=9cm and OD=xcm.
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A
4.1 cm
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B
4.7 cm
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C
4.2 cm
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D
4.5 cm
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Solution

The correct option is D 4.5 cm
When two chords intersect each other inside the circle then, we have

OA×OB=OC×OD

or, 8.1×5=9×x

or, x=8.1×59

x=4.5 cm

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